Finding the Third Proportional to 65,640 and 101,835

Step by Step Solution

1. Step 1: Write the proportion equation
   65,640 : 101,835 = 101,835 : x
2. Step 2: Convert to fraction form
   65,640/101,835 = 101,835/x
3. Step 3: Cross multiply
   65,640x = 101,835 × 101,835
4. Step 4: Simplify right side
   65,640x = 10,370,367,225
5. Step 5: Solve for x
   x = 10,370,367,225/65,640
6. Step 6: Final answer
   x = 157,988.53